A thorough introduction to Algebra for students in grades 6-9 who have completed our Pre-Algebra class. This course is designed to give students a strong foundation in the Algebra concepts that will be built on in subsequent courses. The curriculum focuses on inequality and system of equations; ratios, percent, and proportions; linear functions; factoring, quadratic equations, and functions; general functions, sequence, and series; polynomials, exponentials, and logarithms. Students will be prepared to tackle more advanced Algebra learning.

Review of arithmetic, exponents and radicals

Operations on algebraic expressions (distribution, addition/subtraction)

Solving linear equations and word problems

Operations on algebraic expressions with more than one variable

Solving system of equations with two equations in two variables

Challenging problems on ratios and percents

Direct, inverse, and joint proportions

Properties of the graph of the line y=ax+b

Comparing two numbers, Linear Inequalities

Solving quadratic equations by factoring, Vieta’s formulae

Squares and difference of squares, sum and difference of cubes, rationalizing denominators

Solving quadratic equations by completing the squares and using the quadratic formula

Properties of the graphs of parabolas y=ax^2+bx+c and circles x^2+y^2=r^2

Quadratic Inequalities, Trivial and AM-GM Inequality

Definition of functions, composition and inverse of functions

Properties of graphs of functions, transformation of functions

Addition, subtraction, and multiplication of polynomials.

Exponents, Logarithms, interest

Radicals, absolute value, floor and ceiling, rational functions, and piecewise functions

Arithmetic and geometric sequence and series

More techniques to solve equations by exploiting the self-similarity and symmetry of the problems

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AGES 10 - 15

Designed for beginners, this level is designed to teach the basic fundamentals and design principles of Python, with the help of Turtle graphics and PyGame. This includes: **variables**, **conditional statements**, **loop basics**, and **functions**.

These concepts are transferable to any other programming language. Throughout the way, students will create projects in order to apply the concepts they have learned, and to solidify their knowledge.

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AGES 10 - 15

Level 2 dives **deeper** into the basics of Python for a more thorough understanding and introduces advanced topics. Students will build on knowledge from Level 1 and work with **data structures**, **advanced loops**, **algorithms**, and **object-oriented** programming, and create games based on what they learn.

Students will complete the course with a solid understanding of Python fundamentals.

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AGES 10 - 15

This **beginner-friendly** course serves as an introduction to the Java programming language. Students will learn the fundamentals of Java along with core computer science concepts.

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